1413402004140 has 144 divisors (see below), whose sum is σ = 4607784391392. Its totient is φ = 322773341184.

The previous prime is 1413402004139. The next prime is 1413402004177. The reversal of 1413402004140 is 414002043141.

It is a self number, because there is not a number n which added to its sum of digits gives 1413402004140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068784 + ... + 3499176.

It is an arithmetic number, because the mean of its divisors is an integer number (31998502718).

Almost surely, 2^{1413402004140} is an apocalyptic number.

1413402004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413402004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303892195696).

1413402004140 is an abundant number, since it is smaller than the sum of its proper divisors (3194382387252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1413402004140 is a wasteful number, since it uses less digits than its factorization.

1413402004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431536 (or 431527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1413402004140 its reverse (414002043141), we get a palindrome (1827404047281).

The spelling of 1413402004140 in words is "one trillion, four hundred thirteen billion, four hundred two million, four thousand, one hundred forty".